Published November 10, 2008
| Published + Accepted Version
Journal Article
Open
Large scale geometry of commutator subgroups
- Creators
- Calegari, Danny
- Zhuang, Dongping
Abstract
Let G be a finitely presented group, and G′ its commutator subgroup. Let C be the Cayley graph of G′ with all commutators in G as generators. Then C is large scale simply connected. Furthermore, if G is a torsion-free nonelementary word-hyperbolic group, C is one-ended. Hence (in this case), the asymptotic dimension of C is at least 2.
Additional Information
© Mathematical Sciences Publishers. Received: 29 July 2008. Revised: 1 October 2008. We would like to thank Koji Fujiwara for some useful conversations. We would also like to thank the anonymous referee for a careful reading, and many useful comments. Danny Calegari was partially funded by NSF grant DMS 0707130.Attached Files
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Accepted Version - 0807.4704
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Additional details
- Eprint ID
- 76311
- Resolver ID
- CaltechAUTHORS:20170408-171448676
- DMS-0707130
- NSF
- Created
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2018-03-13Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field